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Formation Process of Common Divisor Concept: A Study of Realistic Mathematics Education

Artigo2021

Rezan Yılmaz ORCID; Merve Dündar

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Resumo

Abstract: Common divisor is one of the concepts that started to be learned in secondary school and forms the basis of many concepts. But students generally have difficulty in making sense of it. The purpose of this study is to investigate concept formation processes of common divisor through a case study on seven sixth grade students. To do this, we designed a learning environment based on Realistic Mathematics Education and tried to determine how students construct the concept. The data collected through group and individual study papers and semi-structured clinical interviews were analyzed with content analysis within the APOS theoretical framework. The findings showed that one student was unable to internalize the action and her thoughts depended on the contextual problem. Other students internalized all common divisors and coordinated them with prime factorization. At the end, students were able to encapsulate all the processes into object by finding the product of common prime numbers. Moreover, students were able to identify greatest common divisor among all common divisors and clarified its meaning.

Dados da obra

Tipo
Artigo
Periódico
Acta Didactica Napocensia, v. 14, n. 2, p. 30-43
Editora
Babeș-Bolyai University
Ano
2021 (2021-12-30)
Idioma
en
Palavras-chave
common divisors; greatest common divisor; concept formation; Realistic Mathematics Education; APOS theory; integer factorization; sixth grade students; internalization; encapsulation
Temas
Álgebra, Geometria, Probabilidade
DOI
10.24193/adn.14.2.3
ISSN
2065-1430
Acesso
Download disponível
Fontes
OpenAlex
Na Biblioteca desde
01/10/2026 · verificada em 03/10/2026

Como citar

ABNT
YILMAZ, Rezan; DÜNDAR, Merve. Formation Process of Common Divisor Concept: A Study of Realistic Mathematics Education. Acta Didactica Napocensia, v. 14, n. 2, p. 30-43, 2021. DOI: https://doi.org/10.24193/adn.14.2.3.

APA

Yılmaz, R., & Dündar, M. (2021). Formation Process of Common Divisor Concept: A Study of Realistic Mathematics Education. Acta Didactica Napocensia, 14(2), 30-43. https://doi.org/10.24193/adn.14.2.3

BibTeX
@article{ylmaz2021,
  author = {Yılmaz, Rezan and Dündar, Merve},
  title = {Formation Process of Common Divisor Concept: A Study of Realistic Mathematics Education},
  year = {2021},
  journal = {Acta Didactica Napocensia},
  volume = {14},
  number = {2},
  pages = {30-43},
  publisher = {Babeș-Bolyai University},
  doi = {10.24193/adn.14.2.3},
  language = {en}
}
RIS
TY  - JOUR
AU  - Yılmaz, Rezan
AU  - Dündar, Merve
TI  - Formation Process of Common Divisor Concept: A Study of Realistic Mathematics Education
PY  - 2021
JO  - Acta Didactica Napocensia
VL  - 14
IS  - 2
SP  - 30
EP  - 43
DO  - 10.24193/adn.14.2.3
LA  - en
ER  -

Referência gerada automaticamente a partir dos metadados das fontes; confira com o documento original. Baixar BibTeX · Baixar RIS

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